Electric Circuits and Networks

15.5 POLES AND ZEROS OF SYSTEM FUNCTION AND EXCITATION FUNCTION

H(s) is the system function, X(s) is the excitation function and Y(s) is the output function referred to in this section.

We observed that

 

 

is a ratio of rational polynomials in complex frequency variable s. Further, we observe from Table 15.3-1 that the excitation functions corresponding to the commonly employed input source functions are also in the form of ratio of rational polynomials in s. Thus, the output function also turns out to be a ratio of rational polynomials in s. Therefore, we can write, where Q(s) is an m^th order polynomial on s and P(s) is an n^th order polynomial ...